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Stochastic simulation of the CME

The two random numbers, denoted r and r2, are randomly sampled from a uniform distribution over the interval [0,1], The time T, as dictated by any first-order decay process, is exponentially distributed  [Pg.276]

Using Equations (11.32) and (11.33), it is straightforward to verify that the random time T follows the exponential probability distribution if r follows a uniform probability distribution  [Pg.277]

Stochastic biochemical systems and the chemical master equation [Pg.278]

After completing a step (a jump in state) the corresponding outward rate constants for the new state are now all different. To continue the simulation, we draw another two random numbers, make another move, and so on. A stochastic trajectory is thus obtained. One notes that the trajectory has randomly variable time steps, a feature indicative of the Gillespie algorithm. [Pg.278]


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Stochastic simulation

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